Let 9 be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P(9 = l) = 3). Under the hypothesis 9 = 0, the random variable X is uniformly distributed over the interval [0, 1]. Under the alternative hypothesis 8 = 1, the PDF of X is given by f 23, i 0 '5 3: <_z l1 fx i l otherwise. consider the map rule for deciding between two hypotheses given that x : this part of problem assume again p="3/5." find conditional prob- ability error decision hypothesis is true>